Dear Mr. Wall,
Thank you for posting your request on History Hub!
We searched the National Archives Catalog and located the Logbooks of U.S. Navy Ships and Stations, 1941 - 1983 in the Records of the Bureau of Naval Personnel (Record Group 24) that include the deck logs of the USS Rolette (AKA-99), USS Rankin (AKA-103), and USS Randall (APA-224) for the dates that they were in commission. For access to and/or copies of these logs, please contact the National Archives at College Park - Textual Reference (RDT2) via email at firstname.lastname@example.org. Please be as specific as possible about the dates that you are seeking.
You may also be interested in the Naval History and Heritage Command’s articles for these ships in their Dictionary of American Naval Fighting Ships:
We hope this information is helpful. Best of luck with your research!